Perspectives in Representation Theory

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Release : 2014-03-11
Genre : Mathematics
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Book Rating : 707/5 ( reviews)

Perspectives in Representation Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Perspectives in Representation Theory write by Pavel Etingof. This book was released on 2014-03-11. Perspectives in Representation Theory available in PDF, EPUB and Kindle. This volume contains the proceedings of the conference Perspectives in Representation Theory, held from May 12-17, 2012, at Yale University, in honor of Igor Frenkel's 60th birthday. The aim of the conference was to present current progress on the following (interrelated) topics: vertex operator algebras and chiral algebras, conformal field theory, the (geometric) Langlands program, affine Lie algebras, Kac-Moody algebras, quantum groups, crystal bases and canonical bases, quantum cohomology and K-theory, geometric representation theory, categorification, higher-dimensional Kac-Moody theory, integrable systems, quiver varieties, representations of real and -adic groups, and quantum gauge theories. The papers in this volume present representation theory connections to numerous other subjects, as well as some of the most recent advances in representation theory, including those which occurred thanks to the application of techniques in other areas of mathematics, and of ideas of quantum field theory and string theory.

Algebraic and Analytic Methods in Representation Theory

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Release : 1996-09-27
Genre : Mathematics
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Book Rating : 950/5 ( reviews)

Algebraic and Analytic Methods in Representation Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic and Analytic Methods in Representation Theory write by . This book was released on 1996-09-27. Algebraic and Analytic Methods in Representation Theory available in PDF, EPUB and Kindle. This book is a compilation of several works from well-recognized figures in the field of Representation Theory. The presentation of the topic is unique in offering several different points of view, which should makethe book very useful to students and experts alike.Presents several different points of view on key topics in representation theory, from internationally known experts in the field

Representation Theory -- Current Trends and Perspectives

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Release : 2017
Genre : Affine algebraic groups
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Book Rating : 712/5 ( reviews)

Representation Theory -- Current Trends and Perspectives - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Representation Theory -- Current Trends and Perspectives write by Henning Krause. This book was released on 2017. Representation Theory -- Current Trends and Perspectives available in PDF, EPUB and Kindle. From April 2009 until March 2016, the German Science Foundation generously supported the Priority Program SPP 1388 in Representation Theory. The core principles of the projects realized in the framework of the priority program have been categorification and geometrization, which are also reflected in the contributions to this volume. Apart from the articles by former postdocs supported by the priority program, the volume contains a number of invited research and survey articles. This volume covers current research topics from the representation theory of finite groups, of algebraic groups, of Lie superalgebras, of finite dimensional algebras, and of infinite dimensional Lie groups. Graduate students and researchers in mathematics interested in representation theory will find this volume inspiring. It contains many stimulating contributions to the development of this broad and extremely diverse subject.

Perspectives in Lie Theory

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Release : 2017-12-07
Genre : Mathematics
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Book Rating : 717/5 ( reviews)

Perspectives in Lie Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Perspectives in Lie Theory write by Filippo Callegaro. This book was released on 2017-12-07. Perspectives in Lie Theory available in PDF, EPUB and Kindle. Lie theory is a mathematical framework for encoding the concept of symmetries of a problem, and was the central theme of an INdAM intensive research period at the Centro de Giorgi in Pisa, Italy, in the academic year 2014-2015. This book gathers the key outcomes of this period, addressing topics such as: structure and representation theory of vertex algebras, Lie algebras and superalgebras, as well as hyperplane arrangements with different approaches, ranging from geometry and topology to combinatorics.

Representation Theory, Mathematical Physics, and Integrable Systems

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Release : 2022-02-05
Genre : Mathematics
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Book Rating : 488/5 ( reviews)

Representation Theory, Mathematical Physics, and Integrable Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Representation Theory, Mathematical Physics, and Integrable Systems write by Anton Alekseev. This book was released on 2022-02-05. Representation Theory, Mathematical Physics, and Integrable Systems available in PDF, EPUB and Kindle. Over the course of his distinguished career, Nicolai Reshetikhin has made a number of groundbreaking contributions in several fields, including representation theory, integrable systems, and topology. The chapters in this volume – compiled on the occasion of his 60th birthday – are written by distinguished mathematicians and physicists and pay tribute to his many significant and lasting achievements. Covering the latest developments at the interface of noncommutative algebra, differential and algebraic geometry, and perspectives arising from physics, this volume explores topics such as the development of new and powerful knot invariants, new perspectives on enumerative geometry and string theory, and the introduction of cluster algebra and categorification techniques into a broad range of areas. Chapters will also cover novel applications of representation theory to random matrix theory, exactly solvable models in statistical mechanics, and integrable hierarchies. The recent progress in the mathematical and physicals aspects of deformation quantization and tensor categories is also addressed. Representation Theory, Mathematical Physics, and Integrable Systems will be of interest to a wide audience of mathematicians interested in these areas and the connections between them, ranging from graduate students to junior, mid-career, and senior researchers.